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Finding the Fourth Proportional to 33,406.40, 50,109.54 and 13,684.98

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Solution

The fourth proportional to 33,406.40, 50,109.54 and 13,684.98 is: 20,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.40 : 50,109.54 = 13,684.98 : x
  2. Step 2: Convert to fraction form
    33,406.40/50,109.54 = 13,684.98/x
  3. Step 3: Cross multiply
    33,406.40x = 50,109.54 × 13,684.98
  4. Step 4: Simplify right side
    33,406.40x = 685,748,052.71
  5. Step 5: Solve for x
    x = 685,748,052.71/33,406.40
  6. Step 6: Final answer
    x = 20,527.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.